Made available in DSpace on 2014-06-11T19:22:18Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-02-24Bitstream added on 2014-06-13T20:28:32Z : No. of bitstreams: 1 niime_fn_me_sjrp.pdf: 457352 bytes, checksum: 318f01064234c003baca33cae4183d6d (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / O objetivo des trabalho é estudar os polinômios ortogonais em várias variáveis com relação a um funcional linear, L e suas propriedades análogas às dos polinômios ortogonais em uma variável, tais como: a relação de três termos, a relação de recorrência de três termos, o teorema de Favard, os zeros comuns ea cubatura gaussiana. Além disso, apresentamos um método para gerar polinômios ortonormais em duas variáveis e alguns exemplos. / The aim here is to study the orthogonal polynomials in several variables with respect to a linear functional, L. also, to study its properties analogous to orthogonal polynomials in one variable, such as the theree term relation, the three term recurrence relation, Favard's theorem, the common zeros and Gaussian cubature. A method to generating orthonormal polynomials in two variables and some examples are presented.

Let <i>φ</i> be a self-map of <b>B</b>₂, the unit ball in <b>C</b>². We investigate the equation <i>C_φf</i>=<i>λf</i> where we define <i>C_φf </i>: -<i>f◦φ</i>, with <i>f a</i> function in the Drury Arves on Space. After imposing conditions to keep <i>C_φ</i> bounded and well-behaved, we solve the equation <i>C_φf - λf </i>and determine the spectrum <i>σ</i>(<i>C_φ</i>) in the case where there is no interior fixed point and boundary fixed point without multiplicity. We then investigate the existence of one-parameter semigroups for such maps and discuss some generalizations.

Diploma Thesis Abstract This diploma thesis is focused on the several and joint liability institute as the main securing VAT institute (instrument) with its own legislation in the Czech VAT Act. This thesis should be a comprehensive analysis of the matter of the several and joint liability in the tax process and should provide an alternative view of some of Czech tax doctrinal conclusions. The introductory part of this thesis is devoted to the particular several and joint liability issues arising from the confrontation between private and public branches of law. The author considers the judicial praxis of awarding the subject of the several and joint liability by recourse wrong. This recourse is derived from the unjust enrichment institute by the Czech Supreme Court. The problem is seen by the author in the fact, that the subject of the joint and several liability does his own legal duty and does not fulfil someone else obligation. Then follows the section about the general legislation of the tax joint and several liability. This tax legislation notably regulates status of the tax subject of the several and joint liability in the tax process and the rest of this legislation should be applied on VAT several and joint liability due to the subsidiarity principle. The main section about the individual subject...

Otimizar significa determinar estratégias para se obter as melhores alternativas em busca dos objetivos traçados. Em matemática, otimização refere-se ao estudo de problemas em que se deseja maximizar ou minimizar uma determinada função através da escolha sistemática dos valores de variáveis dentro de um conjunto viável. Um dos métodos de se determinar os máximos e mínimos de funções é utilizando-se o cálculo em várias variáveis, o qual será abordado nesse trabalho. Possíveis situações relacionadas ao cotidiano são apresentadas para que o processo de otimização possa ser abordado por alunos do Ensino Médio. / Optimizing means determing strategies to obtain better alternatives in the search of the stated aims. In Mathematics, optimization refers to the study of problems in which we want to maximize or to minimize a certain function through a systematic choice of variable values in a viable set. One of the methods used to determine the maximums and the minimums of functions is using calculus in several variables, what will be discussed in this work. Possible situations related to daily life are presented so that the optimization process can be studied by high school students.

This study was conducted to evaluate several forms of equations for predicting Cheddar cheese yields based on the fat and protein content of milk and moisture content of cheese. Production and quality control data from a Cheddar cheese plant for one entire year was used. This included the pounds of milk that went into each vat of cheese, yield of cheese from each vat, cheese moisture from each vat, and fat and protein percentages of the milk. Seven models were derived to predict the yield of Cheddar cheese. The seven models were statistically fitted to the data by applying the Marquardt non-linear least squares method of iteration. These were compared with the commonly used Van Slyke and Price formula, with casein estimated as a percentage of total protein. The differences among the eight models were small.

The purpose of the study was to analyze several determinants of profit on a simulated northern Utah dairy farm. A linear programming model was developed to accomplish this. Optimal conditions on the farm were estimated and then other model applications were made to evaluate the importance of milk price, cropland ownership, and corn silage production and feeding. The significance of cow quality also was estimated. Optimal conditions on the farm gave rates of return to capital between savings rates and loan rates obtainable at a financial institution. Marginal values derived for land did not support the current asking price of land. The marginal values derived for cows would support higher levels of investment in the cows than current prices of the cows. Optimal crop mixes and rations also were derived. Milk price had a direct effect on financial measures of the farm's well-being. Increasing herd size was found to be a logical response to a decrease in milk price. Cropland ownership had an inverse effect on returns but a direct effect on annual income. Corn silage production was found to be more important for a poorer herd than a better herd. However, corn silage production and feeding had a near neutral effect on measures of financial well-being.

Patterns of grazing on individual crested wheatgrass plants were studied using scale maps of plant basal outlines within randomly located plots. The occurrence and extent (part of plant grazed, stubble height) of grazing on each plant was recorded on the maps at two and three day intervals throughout a grazing treatment. Allometric equations for estimating phytomass from plant photosynthetic volume were generated using nonlinear regression analysis. Equations were specific to year. The percent weight remaining in the stubble of a grazed plant was estimated using a second-order polynomial equation relating cumulative percent plant height to cumulative percent plant weight. A modified bootstrap analysis was used due to the autocorrelated nature of these data. These equations were used to estimate the percent biomass grazed from individual plants. The presence of standing dead culms substantially reduced the severity of grazing on individual crested wheatgrass plants. This effect was most pronounced for large plants. The deterrence effect of xiii standing dead culms declined as plants matured, but remained an important factor affecting grazing severity. The pattern of grazing on crested wheatgrass plants was examined under three grazing systems: 1) continuous season-long grazing (CSLG), 2) high intensity grazing (approximately 60 percent utilization in eight days), and 3) short duration grazing. For all grazing treatments, a lower proportion of small plants was grazed than medium and large. Only under CSLG were small plants grazed more severely than large plants. Under all ocher grazing treatments, medium and large plants were grazed as severely as small plants. The proportion of plants regrazed was low when grazing began at the boot phenological stage and regrowth was minimal. It was higher when grazing began at later phenological stages , presumably due to the presence of regrowth. The proportion of small grazed plants that were regrazed was much lower than the proportion of large grazed plants that were regrazed. The re grazing event, however, involved, on average, more of the previously ungrazed portion of a plant than the part which had been grazed before. These results indicate that grazing of regrowth on crested wheatgrass pastures under CSLG may not be a serious problem.

This thesis is concerned with a conjecture of Zilber: that the complex field expanded with the exponential function should be `quasi-minimal'; that is, all its definable subsets should be countable or have countable complement. Our purpose is to study the geometry of this structure and other expansions by holomorphic functions of the complex field without having first to settle any number-theoretic problems, by treating all countable sets on an equal footing. We present axioms, modelled on those for a Zariski geometry, defining a non-first-order class of ``quasi-Zariski'' structures endowed with a dimension theory and a topology in which all countable sets are of dimension zero. We derive a quantifier elimination theorem, implying that members of the class are quasi-minimal. We look for analytic structures in this class. To an expansion of the complex field by entire holomorphic functions $\mathcal{R}$ we associate a sheaf $\mathcal{O}^{\scriptscriptstyle{\mathcal{R}}}$ of analytic germs which is closed under application of the implicit function theorem. We prove that $\mathcal{O}^{\scriptscriptstyle{\mathcal{R}}}$ is also closed under partial differentiation and that it admits Weierstrass preparation. The sheaf defines a subclass of the analytic sets which we call $\mathcal{R}$-analytic. We develop analytic geometry for this class proving a Nullstellensatz and other classical properties. We isolate a condition on the asymptotes of the varieties of certain functions in $\mathcal{R}$. If this condition is satisfied then the $\mathcal{R}$-analytic sets induce a quasi-Zariski structure under countable union. In the motivating case of the complex exponential we prove a low-dimensional case of the condition, towards the original conjecture.

国立情報学研究所で電子化したコンテンツを使用している。

School of Economics, Diss.--Helsinki, 2007. / Enth. 4 Beitr.